Q97. Gopi invests Rs X in scheme A at 15% p.a. SI for 2 years. The amount from A is reinvested in scheme B at 10% p.a. CI for 2 y…

Question

Q97. Gopi invests Rs X in scheme A at 15% p.a. SI for 2 years. The amount from A is reinvested in scheme B at 10% p.a. CI for 2 years. If the difference between interest from A and B is Rs 32.4, find X.

1. A. 1500 Rs.
2. B. 1200 Rs. (Correct answer)
3. C. 1000 Rs.
4. D. 1800 Rs.
5. E. 800 Rs.

Correct Answer

Option B — 1200 Rs.

Detailed Solution & Explanation

The correct answer is 1200 Rs..

Key Points

• SI(A) = X×0.15×2 = 0.30X. Amount from A = 1.30X.
• CI(B) = 1.30X×[(1.10)²–1] = 1.30X×0.21 = 0.273X.
• Difference = |0.30X–0.273X| = 0.027X = 32.4 → X = 1200.